Entanglement entropy of higher rank topological phases

• URL: http://arxiv.org/abs/2302.11468v2
• Date: Sun, 29 Oct 2023 07:30:23 GMT
• Title: Entanglement entropy of higher rank topological phases
• Authors: Hiromi Ebisu
• Abstract summary: We study entanglement entropy of unusual $mathbbZ_N$ topological stabilizer codes which admit fractional excitations with restricted mobility constraint. It is widely known that the sub-leading term of the entanglement entropy of a disk geometry in conventional topologically ordered phases is related to the total number of the quantum dimension of the fractional excitations.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study entanglement entropy of unusual $\mathbb{Z}_N$ topological stabilizer codes which admit fractional excitations with restricted mobility constraint in a manner akin to fracton topological phases. It is widely known that the sub-leading term of the entanglement entropy of a disk geometry in conventional topologically ordered phases is related to the total number of the quantum dimension of the fractional excitations. We show that, in our model, such a relation does not hold, i.e, the total number of the quantum dimension varies depending on the system size, whereas the sub-leading term of the entanglement entropy takes a constant number irrespective to the system size. We give a physical interpretation of this result in the simplest case of the model. More thorough analysis on the entanglement entropy of the model on generic lattices is also presented.

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